A recipe calls for 2 cups of milk for every 6 1/4 cups of flour. If you increase the flour to 43 3/4 cups,
how many cups of milk will you use?
the ratio stays the same
2 / (6 1/4) = ? / (43 3/4) ... 2 / (25/4) = ? / (175/4) ... 2 / 25 = ? / 175
To find out how many cups of milk to use when increasing the amount of flour to 43 3/4 cups, you can set up a proportion.
The proportion can be set up as:
(2 cups of milk / 6 1/4 cups of flour) = (x cups of milk / 43 3/4 cups of flour)
First, let's convert the mixed number 6 1/4 to an improper fraction. Multiply the whole number (6) by the denominator (4), and then add the numerator (1). This gives us (6*4 + 1 = 25) as the numerator. The denominator remains the same (4). So, 6 1/4 is equivalent to 25/4.
Now, the proportion becomes:
(2 cups of milk / 25/4 cups of flour) = (x cups of milk / 43 3/4 cups of flour)
To solve for x, we can cross-multiply and then divide.
2 cups of milk * 43 3/4 cups of flour = x cups of milk * 25/4 cups of flour
87.5 cups of flour = 25/4 * x cups of milk
Now, we can solve for x:
x cups of milk = (87.5 * 4) / 25
x cups of milk = 14 cups
Therefore, when you increase the amount of flour to 43 3/4 cups, you will use 14 cups of milk.